Answer:
The correct option is;
Jason's statement is correct. RST is the same orientation, shape, and size as ABC
Step-by-step explanation:
Here we have
ABC = (2, 1), (3, 3), (4, 1)
RST = (-4, -2), (-3, 0), (-2, -2)
Therefore the length of the sides are as follows
AB = 
AC = 
BC = 
For triangle SRT we have
RS = 
RT = 
ST = 
Therefore their dimensions are equal
However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST
That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.
so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.
So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
= 2 ( 150 + 125 )
= 2 * 275
= 550 yards
Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.
i.e. Debbie walked 2 * Perimeter
= 2 * 550
= 1100 yards
Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the rectangular park (1,000,000 / the Perimeter of the park)
i.e. 1,000,000 / 550
= 1818.18 times
So,
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet

Re-arrange the terms from greatest degree to smallest degree.

We can solve it by applying quadratic formula,

Here a = –16, b = 48, c = 288




Now, write find two t's using plus and minus operation.


t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Answer:
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
Ax+By=C
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
8x−3=y
Move y to the left side of the equation because it contains a variable.
8x−3−y=0
Move 3 to the right side of the equation because it does not contain a variable.
8x−y=3
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.